Probabilities on the Heisenberg Group : Limit Theorems and Brownian Motion
The Heisenberg group comes from quantum mechanics and is the simplest non-commutative Lie group. While it belongs to the class of simply connected nilpotent Lie groups, it turns out that its special structure yields many results which (up to now) have not carried over to this larger class. This book...
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| フォーマット: | Livre numérique |
| 言語: | Anglais |
| 出版事項: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| シリーズ: | Lecture notes in mathematics
1630 |
| 主題: | |
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| Edition sous un autre format: | • Probabilities on the Heisenberg group, limit theorems and Brownian motion, Daniel Neuenschwander, Berlin, Springer, 1996, 1 vol. (VIII-139 p.), Lecture notes in mathematics, 3-540-61453-2 • Probabilities on the Heisenberg Group, Texte imprimé, 9783662208403 |
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| 100 | 1 | |a Neuenschwander, Daniel, |d 1963- | |
| 245 | 1 | 0 | |a Probabilities on the Heisenberg Group : |b Limit Theorems and Brownian Motion |c Daniel Neuenschwander. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1630 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Probability theory on simply connected nilpotent Lie groups -- Brownian motions on H -- Other limit theorems on H. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a The Heisenberg group comes from quantum mechanics and is the simplest non-commutative Lie group. While it belongs to the class of simply connected nilpotent Lie groups, it turns out that its special structure yields many results which (up to now) have not carried over to this larger class. This book is a survey of probabilistic results on the Heisenberg group. The emphasis lies on limit theorems and their relation to Brownian motion. Besides classical probability tools, non-commutative Fourier analysis and functional analysis (operator semigroups) comes in. The book is intended for probabilists and analysts interested in Lie groups, but given the many applications of the Heisenberg group, it will also be useful for theoretical phycisists specialized in quantum mechanics and for engineers. | ||
| 650 | |a Processus stochastiques | ||
| 650 | |a Processus de mouvement brownien | ||
| 650 | |a Théorèmes des limites (théorie des probabilités) | ||
| 650 | |a Groupes de Lie nilpotents | ||
| 650 | |a Probabilités | ||
| 650 | |a Mesures de probabilités | ||
| 650 | |a Groupes topologiques | ||
| 650 | |a Physique mathématique | ||
| 650 | |a Intelligence computationnelle | ||
| 776 | 0 | |0 025849905 |t Probabilities on the Heisenberg group |o limit theorems and Brownian motion |f Daniel Neuenschwander |c Berlin |n Springer |d 1996 |p 1 vol. (VIII-139 p.) |s Lecture notes in mathematics |z 3-540-61453-2 | |
| 776 | 0 | |t Probabilities on the Heisenberg Group |b Texte imprimé |z 9783662208403 | |
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